The Birnbaum-Saunders Distribution

The Birnbaum-Saunders Distribution

by Leiva, Víctor

Type Book
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The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit test…

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Title Statements

  • Full title :The Birnbaum-Saunders Distribution.

Summary

The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications. Introduces inference in the Birnbaum-Saunders distribution Provides a comprehensive review of the statistical theory and methodology of the Birnbaum-Distribution Discusses different applications of the Birnbaum-Saunders distribution Explains characterization and the lifetime analysis.

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Edition Statements

  • Publication Date:2015.

Publication Statements

The Physical Object

  • Description:1 online resource (186 pages)

Edition Identifiers

  • ISBN:9780128038277, 0128038276
  • oclc:ocn956678557
  • Dewey Decimal:519.24

Table of Contents

""Title page""; ""Table of Contents""; ""Copyright""; ""Dedication""; ""List of Figures""; ""List of Tables""; ""Preface""; ""Chapter 1: Genesis of the Birnbaum-Saunders Distribution""; ""Abstract""; ""1.1 Introduction""; ""1.2 History""; ""1.3 Fatigue, genesis, and derivation""; ""1.4 Applications""; ""Chapter 2: Characterizations of the Birnbaum-Saunders Distribution""; ""Abstract""; ""2.1 Introduction""; ""2.2 Probability functions and properties""; ""2.3 Characteristic function and moments""; ""2.4 Generation of random numbers""

""Chapter 3: Inference for the Birnbaum-Saunders Distribution""""Abstract""; ""3.1 Introduction""; ""3.2 Maximum likelihood estimation method""; ""3.3 Moment estimation method""; ""3.4 Graphical estimation method""; ""Chapter 4: Modeling Based on the Birnbaum-Saunders Distribution""; ""Abstract""; ""4.1 Introduction""; ""4.2 The log-Birnbaum-Saunders distribution""; ""4.3 Regression models""; ""4.4 Diagnostic methods""; ""Chapter 5: Goodness of Fit for the Birnbaum-Saunders Distribution""; ""Abstract""; ""5.1 Introduction""; ""5.2 Goodness of fit based on moments""; ""5.3 Model selection""

""5.4 Probability plots""""Chapter 6: Data Analyses with the …

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